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Related papers: Inclusion of Chemical Potential for Scalar Fields

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When dealing with zeta-function regularized functional determinants of matrix valued differential operators, an additional term, overlooked until now and due to the multiplicative anomaly, may arise. The presence and physical relevance of…

High Energy Physics - Theory · Physics 2009-10-31 Antonio Filippi

We investigate Nuclear Lattice Effective Field Theory for the two-body system for several lattice spacings at lowest order in the pionless as well as in the pionful theory. We discuss issues of regularizations and predictions for the…

Nuclear Theory · Physics 2015-06-26 Nico Klein , Dean Lee , Weitao Liu , Ulf-G. Meißner

As part of a project to obtain better optical response functions for nano materials and other systems with strong excitonic effects we here calculate the exchange-correlation (XC) potential of density-functional theory (DFT) at a level of…

Other Condensed Matter · Physics 2009-11-13 M. Hellgren , U. von Barth

Accurate ab initio modelling of surfaces and interfaces, especially under an applied external potential bias, is important for describing and characterizing various phenomena that occur in electronic, catalytic, and energy storage devices.…

Materials Science · Physics 2025-06-10 Kartick Ramakrishnan , Gopalakrishnan Sai Gautam , Phani Motamarri

We develop a functional derivative approach to calculate the chemical potentials of the second-order perturbation theory (MP2). In the functional derivative approach, the correlation part of the MP2 chemical potential, which is the…

Chemical Physics · Physics 2024-05-01 Jiachen Li , Weitao Yang

We propose a regularization technique and apply it to the Euler product of zeta functions, mainly of the Riemann zeta function, to make unknown some clear. In this paper that is the first part of the trilogy, we try to demonstrate the…

Mathematical Physics · Physics 2007-05-23 Minoru Fujimoto , Kunihiko Uehara

A path integral Monte Carlo method based on the worm algorithm has been developed to compute the chemical potential of interacting bosonic quantum fluids. By applying it to finite-sized systems of helium-4 atoms, we have confirmed that the…

Statistical Mechanics · Physics 2014-06-24 C. M. Herdman , A. Rommal , A. Del Maestro

In this letter we make use of the Background Field Method (BFM) to compute the effective potential of an SU(2) gauge field theory, in the presence of chemical potential and temperature. The main idea is to consider the chemical potential as…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Loewe , S. Mendizabal , J. C. Rojas

In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

We propose a new scheme to parameterize effective potentials that can be used to simulate atomic systems such as oxide glasses. As input data for the optimization, we use the radial distribution functions of the liquid and the vibrational…

Materials Science · Physics 2018-06-13 Siddharth Sundararaman , Liping Huang , Simona Ispas , Walter Kob

We investigate a method to extract response functions (dynamical polarisabilities) directly from a bound-state approach applied to calculations of perturbation-induced reactions. The use of a square-integrable basis leads to a response in…

The applicability of the local hardness as defined by the derivative of the chemical potential with respect to the electron density is undermined by an essential ambiguity arising from this definition. Further, the local quantity defined in…

Chemical Physics · Physics 2017-09-13 T. Gal , P. Geerlings , F. De Proft , M. Torrent-Sucarrat

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

This paper initiates the systematic study of thermal field theory for generic equilibrium density matrices, which feature arbitrary values not only of temperature and chemical potentials, but also of average angular momentum. The focus here…

High Energy Physics - Theory · Physics 2026-05-05 Alberto Salvio

The potential curve, dissociation energy, equilibrium internuclear distance, and spectroscopic constants for the ground state of the Ca2 molecule are calculated with the help of the generalized relativistic effective core potential method…

Chemical Physics · Physics 2012-12-27 N. S. Mosyagin , A. N. Petrov , A. V. Titov , A. V. Zaitsevskii

For nonsupersymmetric theories, the one-loop effective action can be computed via zeta function regularization in terms of the functional trace of the heat kernel associated with the operator which appears in the quadratic part of the…

High Energy Physics - Theory · Physics 2009-10-30 I. N. McArthur , T. D. Gargett

Chiral EFT yields singular potentials that require regularization and renormalization when implemented in a dynamical equation such as the Lippmann--Schwinger equation. We employ two different approaches, renormalization with contact terms…

Nuclear Theory · Physics 2026-05-22 Q. N. Micha-Mba , M. S. Sánchez , P. G. Ortega , J. A. Oller , D. R. Entem

Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined. The effective potential is evaluated nonperturbatively in the context of the…

High Energy Physics - Phenomenology · Physics 2011-11-01 D. C. Duarte , R. L. S. Farias , Rudnei O. Ramos

Use of density-functional theory in a $\Delta$self-consistent field framework result in both the ground- and two lowest electronicly excited states of the NaCl and LiCl. The accuracy of this method is confirmed using a multi-configuration…

Chemical Physics · Physics 2007-05-23 A. Hellman , M. Slabanja

The effect of an oscillating electric field normal to a metallic surface may be described by an effective potential. This induced potential is calculated using semiclassical variants of the random phase approximation (RPA). Results are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Michael Wilkinson